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Approximate Lie $\ast$-Derivations on $\rho$-complete Convex Modular algebras |
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| Authors: | Hark-Mahn Kim and Hwan-Yong Shin |
| Institution: | Department of Mathematics, Chungnam National University,99 Daehangno, Yuseong-gu, Daejeon 34134, Republic of Korea and Department of Mathematics, Chungnam National University,99 Daehangno, Yuseong-gu, Daejeon 34134, Republic of Korea |
| Abstract: | In this paper, we obtain generalized Hyers--Ulam stability results of a $(m,n)$-Cauchy-Jensen functional equation associated with approximate Lie $*$-derivations on $\rho$-complete convex modular $*$-algebras $\chi_\rho$ with $\Delta_\mu$-condition on the convex modular $\rho$. |
| Keywords: | Modular $*$-algebra convex modular $\Delta_\mu$-condition $(m n)$-Cauchy-Jensen mapping Lie $*$-derivation |
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